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本文系统探究了刚性毛细管约束下微气泡在超声场中的弹跳行为及其动力学特性。实验采用高速摄像技术捕捉了单泡、双泡及三泡系统在粘弹性介质中的运动轨迹,并结合频谱分析揭示了气泡的振荡频率、迁移规律及多泡相互作用机制。结果表明,气泡的弹跳行为受超声驱动频率、管壁约束、流体粘性及气泡间耦合作用的协同调控;单泡呈现周期性左右迁移,其振荡频率略低于超声基频,频谱表现出非对称边带分布;双泡系统经历抑制、加速迁移、位置交换等五个阶段,两个泡振荡存在相位差;三泡系统则表现出更复杂的三角构型演化与时序性迁移,多泡协同效应增强了非线性频域特征。管径与流体粘度分别通过改变附加质量效应和粘性能量耗散影响气泡弹跳周期。基于改进的耦合Keller-Miksis方程,理论模型引入镜像气泡效应,定量解析了管壁约束下气泡的共振频率偏移及非线性声响应特性。数值分析进一步量化了泡间距、管壁位置及介质粘性对系统非线性共振频率与相位差的调控规律。本研究为受限环境中气泡-声场-流固耦合机制提供了新见解,对微流控器件优化与超声医学应用具有重要指导意义。This study systematically investigates the bouncing behavior and dynamics of microbubbles under ultrasound excitation within a rigid capillary. It aims to provide quantitative insights into their oscillation characteristics, migration trajectories, and phase modulation mechanisms for applications in microfluidics, contrast-enhanced ultrasound imaging, and controlled drug delivery. A high-speed imaging system was employed to track the motion of single-, double-, and triple-bubble systems in a viscoelastic medium inside a capillary with a 0.5 mm inner diameter. Under a 28 kHz ultrasound field, bubble dynamics were captured at 100,000 frames per second. Image processing techniques, including dynamic threshold segmentation and morphological operations, were applied to extract bubble contours and centroid trajectories. Spectral analysis via Fast Fourier Transform (FFT) was performed to identify oscillation frequencies and modulation characteristics. Experimental results showed that a single bubble exhibits periodic lateral migration with oscillation frequency slightly below the driving frequency, alongside an asymmetric sideband distribution in its spectrum. In the two-bubble system, five distinct dynamic stages were identified: initial suppression, accelerated migration, interaction dominance, position exchange, and a secondary approach to the wall. The bubbles oscillated at a common dominant frequency of 27.32 kHz but maintained phase difference. Modulation sidebands of approximately 0.3 kHz were observed, indicating nonlinear coupling. The three-bubble system exhibited more complex spatiotemporal evolution, including sequential migration and transitions between triangular and mirror-symmetric configurations. A notable sideband at 0.1 kHz suggested that multi-bubble synergy enhances nonlinear behavior. The tube diameter and fluid viscosity were found to influence the bouncing period through added mass effects and viscous energy dissipation, respectively. The period increased significantly with decreasing tube diameter and decreased with reducing fluid viscosity. Theoretical modeling incorporated the mirror bubble effect into the coupled Keller-Miksis equations to account for wall confinement, successfully simulating the oscillation and translation of confined microbubbles. Numerical analysis further indicated that interbubble distance, wall proximity, and medium viscosity modulate the system's dynamics. Specifically, the bubble resonance frequency is regulated by inter-bubble distance and wall confinement. The two-bubble system exhibits both in-phase and out-of-phase modes, with the latter being more sensitive to distance variations. Near the wall, the oscillation frequency decreases, and the phase difference attenuation accelerates. Increased medium viscosity weakens the phase coupling between bubbles, an effect particularly pronounced for smaller bubbles. This study not only enhances the understanding of multi-bubble synergistic effects in confined spaces but also provides a theoretical foundation and technical reference for optimizing ultrasound contrast agents, designing microfluidic devices, and developing targeted therapies in biomedicine.
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Keywords:
- Microbubbles /
- Bouncing behavior /
- Wall confinement /
- Multibubble interaction
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